Highest Common Factor of 3399, 9430 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3399, 9430 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3399, 9430 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3399, 9430 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3399, 9430 is 1.
HCF(3399, 9430) = 1
HCF of 3399, 9430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3399, 9430 is 1.
Highest Common Factor of 3399,9430 is 1
Step 1: Since 9430 > 3399, we apply the division lemma to 9430 and 3399, to get
9430 = 3399 x 2 + 2632
Step 2: Since the reminder 3399 ≠ 0, we apply division lemma to 2632 and 3399, to get
3399 = 2632 x 1 + 767
Step 3: We consider the new divisor 2632 and the new remainder 767, and apply the division lemma to get
2632 = 767 x 3 + 331
We consider the new divisor 767 and the new remainder 331,and apply the division lemma to get
767 = 331 x 2 + 105
We consider the new divisor 331 and the new remainder 105,and apply the division lemma to get
331 = 105 x 3 + 16
We consider the new divisor 105 and the new remainder 16,and apply the division lemma to get
105 = 16 x 6 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3399 and 9430 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(105,16) = HCF(331,105) = HCF(767,331) = HCF(2632,767) = HCF(3399,2632) = HCF(9430,3399) .
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Frequently Asked Questions on HCF of 3399, 9430 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3399, 9430?
Answer: HCF of 3399, 9430 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3399, 9430 using Euclid's Algorithm?
Answer: For arbitrary numbers 3399, 9430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.